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Finding the Third Proportional to 29,595,596,490 and 42,760,526,103

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Solution

The third proportional to 29,595,596,490 and 42,760,526,103 is: 61,781,575,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,595,596,490 : 42,760,526,103 = 42,760,526,103 : x
  2. Step 2: Convert to fraction form
    29,595,596,490/42,760,526,103 = 42,760,526,103/x
  3. Step 3: Cross multiply
    29,595,596,490x = 42,760,526,103 × 42,760,526,103
  4. Step 4: Simplify right side
    29,595,596,490x = 1,828,462,592,605,344,497,664
  5. Step 5: Solve for x
    x = 1,828,462,592,605,344,497,664/29,595,596,490
  6. Step 6: Final answer
    x = 61,781,575,959.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.